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Finding the Third Proportional to 99,820 and 214,244

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Solution

The third proportional to 99,820 and 214,244 is: 459,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820 : 214,244 = 214,244 : x
  2. Step 2: Convert to fraction form
    99,820/214,244 = 214,244/x
  3. Step 3: Cross multiply
    99,820x = 214,244 × 214,244
  4. Step 4: Simplify right side
    99,820x = 45,900,491,536
  5. Step 5: Solve for x
    x = 45,900,491,536/99,820
  6. Step 6: Final answer
    x = 459,832.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.